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Finding the Fourth Proportional to 47,255.64, 70,865.28 and 15,656.10

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Solution

The fourth proportional to 47,255.64, 70,865.28 and 15,656.10 is: 23,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,255.64 : 70,865.28 = 15,656.10 : x
  2. Step 2: Convert to fraction form
    47,255.64/70,865.28 = 15,656.10/x
  3. Step 3: Cross multiply
    47,255.64x = 70,865.28 × 15,656.10
  4. Step 4: Simplify right side
    47,255.64x = 1,109,473,910.21
  5. Step 5: Solve for x
    x = 1,109,473,910.21/47,255.64
  6. Step 6: Final answer
    x = 23,478.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.